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 A134394 Triangle T(n,k) = Sum_{j=k..n} A077028(j,k), read by rows. 3

%I

%S 1,2,1,3,3,1,4,6,4,1,5,10,9,5,1,6,15,16,12,6,1,7,21,25,22,15,7,1,8,28,

%T 36,35,28,18,8,1,9,36,49,51,45,34,21,9,1,10,45,64,70,66,55,40,24,10,1,

%U 11,55,81,92,91,81,65,46,27,11,1,12,66,100,117,120,112,96,75,52,30,12,1,13,78,121,145,153

%N Triangle T(n,k) = Sum_{j=k..n} A077028(j,k), read by rows.

%C Row sums = A055795: (1, 3, 7, 15, 30, 56, 98, ...).

%C Antidiagonal reading of A139600 without its left column. -_ R. J. Mathar_, Apr 17 2011

%F A000012 * A077028 as infinite lower triangular matrices.

%F T(n,k) = (k-n-1)*( k*(k-n)-2)/2. - _R. J. Mathar_, Apr 17 2011

%e First few rows of the triangle are:

%e 1;

%e 2, 1;

%e 3, 3, 1;

%e 4, 6, 4, 1;

%e 5, 10, 9, 5, 1;

%e 6, 15, 16, 12, 6, 1;

%e 7, 21, 25, 22, 15, 7, 1;

%p A077028 := proc(n,k) if n < 0 or k<0 or k > n then 0; else k*(n-k)+1 ; end if; end proc:

%p A134394 := proc(n,k) add ( A077028(j,k),j=k..n) ; end proc:

%p seq(seq(A134394(n,k),k=0..n),n=0..15) ; # _R. J. Mathar_, Apr 17 2011

%Y Cf. A077028, A055795.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Oct 23 2007

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Last modified January 21 19:42 EST 2019. Contains 319350 sequences. (Running on oeis4.)